2 papers
math.RA2026
Decompositions of Griess algebras beyond the OZ-setting
Jari Desmet, Louis Olyslager
To each VOA of strong CFT type, we associate a non-associative algebra which generalizes Griess algebras of One-Zero (OZ) VOAs. We compute the fusion law of Ising vectors in this a…
math.RA2025
Constructing Chayet-Garibaldi algebras from affine vertex algebras (including the 3876-dimensional algebra for )
Tom De Medts, Louis Olyslager
In 2021, Maurice Chayet and Skip Garibaldi provided an explicit construction of a commutative non-associative algebra on the second smallest representation of (of dimension $…